What is the Least Common Multiple of 97398 and 97413?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 97398 and 97413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97398 and 97413, than apply into the LCM equation.

GCF(97398,97413) = 3
LCM(97398,97413) = ( 97398 × 97413) / 3
LCM(97398,97413) = 9487831374 / 3
LCM(97398,97413) = 3162610458

Least Common Multiple (LCM) of 97398 and 97413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97398 and 97413. First we will calculate the prime factors of 97398 and 97413.

Prime Factorization of 97398

Prime Factorization of 97413

Now multiplying the highest exponent prime factors to calculate the LCM of 97398 and 97413.

LCM(97398,97413) = 2¹ × 3² × 7¹ × 773¹ × 19¹ × 1709¹
LCM(97398,97413) = 3162610458